Except as otherwise provided in this chapter, as used in this chapter—

((1)) the terms “elementary education” and “secondary education” have the meaning given such terms under State law;

((2)) the term “high-need local educational agency” means a local educational agency—

((A)) that serves not fewer than 10,000 children from families with incomes below the poverty line; or

((B)) for which not less than 20 percent of the children served by the agency are from families with incomes below the poverty line;

((3)) the term “institution of higher education” has the meaning given such term in ;

((4)) the term “Secretary” means the Secretary of Education;

((5)) the term “State” means each of the 50 States, the District of Columbia, and the Commonwealth of Puerto Rico; and

((6)) any other term used that is defined in section 7801  of this title shall have the meaning given the term in such section.